simplify (w^2z^3)^4

Solution

simplify

(w^{2} z^{3})^{4}

w^{8} z^{12}

Solution steps

(w^{2} z^{3})^{4}

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

(w^{2} z^{3})^{4} = (w^{2})^{4} (z^{3})^{4}

= (w^{2})^{4} (z^{3})^{4}

Simplify

(w^{2})^{4} : w^{8}

= w^{8} (z^{3})^{4}

Simplify

(z^{3})^{4} : z^{12}

= w^{8} z^{12}

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